I see. Thank you for the additional information.
State law does typically permit employees and employers to terminate the employment relationship altogether at any time and without notice pursuant to the employment at will doctrine, provided there are no laws violated such as anti-discrimination laws.
There is no specific protocol for modifying an employee's terms of employment or terminating them, but you should keep in mind that you do have the right to modify her employment or even terminate her at any time as long as you are not violating any laws or your own policies. So if she becomes unreasonable or angry, you could terminate her for insubordination typically.
The law does treat a modification of terms of employment as a new offer of employment, even if the employment is continuous. The employee can either reject or accept the "new offer" and if the offer results in a reduction of hours or pay of at least 20%, the employee could reject it and seek unemployment benefits, which may be what occurs in this situation if the employee does not want to accept the part-time assignment.
Here is a link I found that provides good advice on terminating employees:
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